One-loop quantum gravity from the N=4 spinning particle
High Energy Physics - Theory
2021-02-24 v2
Abstract
We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the N=4 supersymmetric spinning particle by relaxing the gauging of the full SO(4) R-symmetry group to a parabolic subgroup, and selecting suitable Chern-Simons couplings on the worldline. We test it by computing the correct one-loop divergencies of quantum gravity in D=4.
Keywords
Cite
@article{arxiv.1909.05750,
title = {One-loop quantum gravity from the N=4 spinning particle},
author = {Fiorenzo Bastianelli and Roberto Bonezzi and Olindo Corradini and Emanuele Latini},
journal= {arXiv preprint arXiv:1909.05750},
year = {2021}
}
Comments
11 pages, typos corrected in formulas (3.7), (3,9), (3.10) and (3.13) present in the published version, references updated